Atkin-Lehner |
2- 7- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
106288t |
Isogeny class |
Conductor |
106288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2590080 |
Modular degree for the optimal curve |
Δ |
14265733873664 = 231 · 7 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 2 -3 7- -3 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10915752,-13877612944] |
[a1,a2,a3,a4,a6] |
j |
35117596497404675783593/3482845184 |
j-invariant |
L |
0.33223537778597 |
L(r)(E,1)/r! |
Ω |
0.083058892567711 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286b1 |
Quadratic twists by: -4 |